He should be able to travel 322 miles. It would cost him $33.235 rounded up to $33.24.
Answer:
2x+12=180°
Step-by-step explanation:
because linear is equal to 180°
Answer: B
Step-by-step explanation:
Answer:
(D) Although cause-and-effect cannot be established, there is an association between stress and the presence of heart arrhythmias for the population of all women aged 30 to 50.
Step-by-step explanation:
Answer:
Step-by-step explanation:
define the function:

As both
and x are continuous functions,
will also be continuous.
Now, what can we say about
?
we know that
, thus:

thus
is non-negative.
What about
? Again we have:

That means that
is not positive.
Now, we can imagine two cases, either one of
or
is equal to zero, or none of them is. If either of them is equal to zero, we have found a fixed point! In fact, any point
for which
is a fixed point, because:

Now, if
and
, then we have that
and
. And by Bolzano's theorem we can assert that there must exist a point c between a and b for which
. And as we have shown before that point would be a fixed point. This completes the proof.